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                 402    Mechanical Engineering Design
                                   7–6    The figure shows a proposed design for the industrial roll shaft of Prob. 7–4. Hydrodynamic
                                          film bearings are to be used. All surfaces are machined except the journals, which are
                                          ground and polished. The material is 1035 HR steel. Perform a design assessment. Is the design
                                          satisfactory?


                                                                1  1 4      1  1  keyway
                               Problem 7–6                                     4
                                             O                           A
                    Bearing shoulder fillets 0.030 in,
                       1                  1
                  others  16  in. Sled-runner keyway is
                    1
                    3 in long. Dimensions in inches.
                    2                                                                    7
                                              1  1          10            1  1   4       8
                                               2                           2
                               7–7* to    For the problem specified in the table, build upon the results of the original problem to obtain a
                                7–16*     preliminary design of the shaft by performing the following tasks.
                                          (a) Sketch a general shaft layout, including means to locate the components and to transmit the
                                             torque. Estimates for the component widths are acceptable at this point.
                                          (b) Specify a suitable material for the shaft.
                                          (c) Determine critical diameters of the shaft based on infinite fatigue life with a design factor
                                            of 1.5. Check for yielding.
                                          (d) Make any other dimensional decisions necessary to specify all diameters and axial dimen-
                                             sions. Sketch the shaft to scale, showing all proposed dimensions.
                                          (e) Check the deflections at the gears, and the slopes at the gears and the bearings for satisfaction
                                            of the recommended limits in Table 7–2. Assume the deflections for any pulleys are not
                                            likely to be critical. If any of the deflections exceed the recommended limits, make appro-
                                            priate changes to bring them all within the limits.

                                           Problem Number            Original Problem, Page Number
                                                 7–7*                            3–68, 137
                                                 7–8*                            3–69, 137
                                                 7–9*                            3–70, 137
                                                 7–10*                           3–71, 137
                                                 7–11*                           3–72, 138
                                                 7–12*                           3–73, 138
                                                 7–13*                           3–74, 138
                                                 7–14*                           3–76, 139
                                                 7–15*                           3–77, 139
                                                 7–16*                           3–79, 139


                                 7–17     In the double-reduction gear train shown, shaft a is driven by a motor attached by a flexible
                                          coupling attached to the overhang. The motor provides a torque of 2500 lbf · in at a speed of
                                          1200 rpm. The gears have 20° pressure angles, with diameters shown on the figure. Use an
                                          AISI 1020 cold-drawn steel. Design one of the shafts (as specified by the instructor) with a design
                                          factor of 1.5 by performing the following tasks.
                                          (a) Sketch a general shaft layout, including means to locate the gears and bearings, and to trans-
                                             mit the torque.
                                          (b) Perform a force analysis to find the bearing reaction forces, and generate shear and bending
                                             moment diagrams.
                                          (c) Determine potential critical locations for stress design.
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